


GRADING SIMPLIFIED 



A Manual to Aid Teachers 

in Making Out Reports 

and Averaging 

Grades 




^^. 



By LUCIE T. WEBB 



GRADING SIMPLIFIED 



A Teacher's Aid in 
Making Out Reports 
and Averaging Grades 

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ru 



BY 

LUCIE THOMAS WEBB 



Price 75 Cents 



PUBLISHERS 

HACKNEY & MOALE COMPANY 

ASHEVILLE, N. C. 



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iliRARToToONGREl? 
Two CoDlos Kecetvdc 

JUN 17 1908 

CUS^A XXc, jMv 

COPY 



Copyright. igo8 
By LCCIE T. WEBB 




INTRODUCTION. 

For many years, especially since the increased inter- 
;t in education, teachers have felt the need of some 
*^iWmeans of simplifying and lessening the work of grad- 
i mg. The end of each month or term is looked forward 
to with dread, for it means hours of hard work grading 
examination papers, averaging grades, etc. Conse- 
quently, numbers of schools have discarded the old, and 
only correct system of grading, that of percentage, and 
adopted others too general in meaning to stimulate in- 
terest and competition on the part of the pupil. Why 
should a pupil give his closest attention to the ^'little 
things," which would mean a deserving grade of ninety- 
nine or one hundred, when he knows his report will 
only credit him with excellent^ a^ or one^ which may 
mean anywhere from ninety-five up? The solution of 
the problem lies in this, — retain the old percentage 
method but lessen the work by means of charts and 
tables that will give the averages without that tedious 
adding, dividing, etc., which a tired teacher dreads so 
much. 

This little manual proposes to do this. It cannot do 
all of the work, nor does it claim to do it, but if prop- 
erlv used, will be invaluable to anv teacher in the sav- 
ing of time, and mental exertion. 

To Prof. R. J. Tighe, superintendent of the Asheville 



City Scliools : Prof. John Harris. Lenoir Graded 
Schools; Prof. J. T. Jones, principal Lenoir High 
School : and especiallv Prof. Anderson Weaver, of Dav- 
enport College, the author wishes to extend her sincer- 
est gratitude for their interest and encouragement in 
the pr-e]3aration of this little book. They have exam- 
ined it carefnllv, tested its merits, and endorsed its use. 




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GRADING SIMPLIFIED. 

In many ways grading is a difficult task. Just 
how much a pupil has missed of a lesson, or how little 
he knows about that lesson must be left to the discre- 
tion of the teacher, and often she is mistaken in 
both. Valuing work too high should be carefully 
guarded against, for a pupil soon loses interest in a 
grading that he knows is not true, even if it is in his 
favor ; and resentment and trouble are certain to fol- 
low if the mark is below what he deserves. The author 
has tried the plan of making each pupil take a brief 
note of his failures when on recitation, and at the close 
state what he has failed on, and gTade himself, — she 
correcting it when necessary. This way the teacher 
needs only to take notice of those who have missed dur- 
ing the recitation, counting the remainder of the class 
as perfect. 

The purpose of this little book is that of finding the 
average daily grade, and combining it with the examin- 
ation grade and thus securing the final average. The 
Tables from one to twelve will help to do the former, 
while Charts I. and II. will give the latter. If the pupil 
is graded every day during the school month, we use 
Table VII. of which the dividing factor is twenty; if 
graded three times per week, making twelve times each 
month, we use Table III., of which the dividing factor 
is twelve, and so on. 

The Daily Grade. 

The first seven Tables are for finding the average 
daily grade of any one subject, when the pupil has been 

6 



graded daily on the basis of one to ten, counting ten as 
perfect. Suppose a child's grade on Arithmetic stands 
thus : 9, 8, 5, 7, 9, 9, 6, 9, and ten each day the remain- 
ing days of the month of twenty days ; he made then 
182 points, divided by twenty gives an average grade 
of 9.1 or 91 per cent, on Arithmetic. Again, he failed to 
make 18 of the 200 points he might have made; since 
the first day he lost one, the second day two, third day 
five and so on, in all eighteen points. In Table VII. se- 
lect from the factors at the top and left side, the factors 
of eighteen lone above and one to left) three and six 
or two and nine, and where these columns cross will 
be found the grade desired. If the number which rep- 
resents the lost points cannot be factored, find from 
the table the grade of the factored number just above 
the desired number and to that grade add the correc- 
tion given at the bottom of the table, — once if the differ- 
ence between the factored and desired number is one, 
twice if tAvo, etc. 

Example : Find the grade obtained from the loss of 
thirteen points. In Table VII. 14 points = 93, correc- 
tion ^, for 13 points, then the grade will be 93^. 

Examination Papers. 

The tables on a basis of ten as perfect may also be 
used to advantage in grading examination papers, 
using the table of which the dividing factor is the same 
as the number of questions given on the examination. 
The method is similar to the above. Value each ques- 
tion at ten, regardless of the number of questions, make 
a note of the points lost on each one. and find the fac- 
tors of their sum. then the table will give the desired 
grade. 

7 



Average Grade of Subjects Taught. 

After the daily grade on each subject is obtained, 
the tables from eight to twelve on a basis of one hun- 
dred as perfect will give the average grade of these sub- 
jects, selecting the table which has a dividing factor 
equal to the number of subjects. Suppose a pupil 
makes the following grades in March: Arithmetic 98, 
Geography 96, Reading 90, Writing 97, History 95, 
English 94; then he has lost the following points in 
order : 2, 4, 10, 3, 5, 6 = 30 in all. The factors of 30 
are 5 and 6, in Table IX. These factors give a grade of 
95. Grades for numbers that cannot be factored may 
be obtained as before stated. 

' Combining Daily and Examination Grades. 

The two charts in the back of the book are for ob- 
taining the final average when the daily and examina- 
tion grades are known. At the top of the chart find 
the given examination grade, look down the column 
until the given daily grade or the grade nearest to it is 
found, across to the left will be the average desired. 
These charts are made to give the averages in whole 
numbers. If the fraction is desired, add one-third to 
the average for every increase of one-half in the daily 
grade. 

Example: Chart I. — An examination grade of 90 
and daily grade of 96 gives an average of 94; a daily 
grade of 96^ and exam, of 90 gives an average of 94 1-3. 

This method may be a little confusing at first, but 
when once understood and properly tested, the author 
feels sure no teacher will go back to the old way of con- 



sidering what a pupil makes instead of what he loses. 
The latter deals with much smaller figures and conse- 
quently saves mental exertion and time. It w^ill be an 
advantage for the teacher to have a grade book ruled 
with one column for each day the pupil is to be graded 
during the month. Note the points he lost each lesson, 
leaving a blank space when the recitation is perfect. 
For instance, if he makes eight on a lesson, credit him 
with two in the grade book; the sum of these numbers 
will be the points he has lost during the month. Then 
the grade may be found as stated. 




The fractions in the following tables are expressed thus : 1-3, 
meaning one-third. 

TABLE I. 



Dividing factor, eight. 



Ten. perfect. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


10 


1 


98 3-4 


97 1-2 


96 1-4 


95 


93 3-4 


92 1-2 


91 1-4 


90 


88 3-4 


87 1-2 


2 


97 1-2 


95 


92 1-2 


90 


87 1-2 


85 


82 1-2 


80 


77 1-2 


75 


3 


96 1-4 


92 1-2 


88 3-4 


85 


811-4 


77 1-2 


73 3-4 


70 


66 1-4 


62 1-2 


4 


95 


90 


8. 


80 


75 


70 


65 


60 


55 


50 


5 


93 3-4 


87 1-2 


811-4 


75 


68 3-4 


62 1-2 


56 1-4 


50 


43 3-4 




6 


92 1-2 


85 


77 1-2 


70 


62 1-2 


55 


47 1-2 


40 






7 


911-4 


82 1-2 


73 3-4 


65 


56 1-4 


47 1-2 


38 6-8 








8 


90 


80 


70 


60 


50 


40 






■ 




9 


88 3-4 


77 1-2 


66 1-4 


55 


43 3-4 












10 


87 1-2 


75 


62 1-2 


50 















Correction, 1 1-4. 



10 



TABLE II. 

When the dividing factor is ten. 



Ten, perfect. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


10 


1 


99 


98 


97 


96 


95 


94 


93 


92 


91 


90 


2 


98 


96 


94 


92 


90 


88 


- 86 


84 


82 


80 


3 


97 


94 


91 


88 


85 


82 


79 


76 


73 


70 


4 


96 


92 


88 


84 


80 


76 


72 


68 


64 


60 


5 


95 


90 


85 


80 


75 


70 


65 


60 


55 


50 


6 


94 


88 


82 


76 


70 


64 


58 


52 


46 


40 


7 


93 


86 


79 


72 


65 


58 


51 


44 


37 


30 


8 


92 


84 


76 


68 


60 


52 


44 


36 


28 


20 


9 


91 


82 


73 


64 


55 


46 


37 


28 


19 


10 


10 


90 


80 


70 


60 


50 


40 


30 


20 


10 






Correction, one. 



II 



TABLE III. 

When the dividing faeior is ticeive. 



Ten. perfect. 





1 1 , 1 I 
1 1 1 2 1 3 1 4 1 5 

1 1 1 1 ! 


6 


7 1 S i 9 1 10 


1 


99 1-6 


98 1-3 


97 1-2 


96 2-3 95 5-6 


95 


94 1-6 93 1-3:92 1-2| 91 2-3 

i ' ) 


2 


98 1-3 


96 2-3 


95 


93 1-3 '91 2-3 


90 


SSl-3 $6 2-3 85 


S3 1-3 


3 


97 1-2 


95 


92 1-2 


90 87 1-2 


85 


82 1-2 80 77 1-2 


75 


4 


96 2-3 

-- 


93 1-3 IX) 

i 
1 


st:i2-3'83 1-3 


80 


76 2-3 73 1-3 '70 66 2-3 


5 


95 5-6 


91 2-3;ST 1-2 

! 


83 1-3 


79 1-2 


75 


70 5-0 06 2-3 62 1-2 5S 1-3 


6 


95 


90 


85 


80 


75 


70 


65 


60 


55 


50 


7 


94 1-6 


88 1-3 


82 1-2 


76 2-3 


70 5-6 


65 


59 1-2 


53 1-3 


47 1-2 


41 2-3 


" 8 


93 1-3 


86 2-3 


80 


73 1-3 


m 2-3 


60 


53 1-3 


■ 
46 2-3 40 33 1-3 


9 


92 1-2 


85 


77 1-2 


70 


62 1-2 


55 


47 1-2 4n 32 1-2 25 

1 


10 


912-3 


1 
83 1-3 75 66 2-31581-3 


50 

1 


1 
412-3 33 1-3 25 16 2-3 



Correc-tiou 5-6. 



TABLE IV, 

When the dividing factor is fifteen. 



Ten, perfect. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


10 


1 


99 1-3 


98 2-3 


98 


97 1-3 


96 2-3 


96 


95 1-3 


94 2-3 


94 


93 1-3 


2 


98 2-3 


97 1-3 


96 


94 2-3 


93 1-3 


92 


90 2-3 


89 1-3 


88 


86 2-3 


3 


98 


96 


94 


92 


90 


88 


86 


84 


82 


80 


4 


97 1-3 


94 2-3 


92 


89 1-3 


86 2-3 


84 


811-3 


78 2-3 


76 


73 1-3 


5 


96 2-3 


93 1-3 


90 


86 2-3 


83 1-3 


80 


76 2-3 


73 1-3 


70 


66 2-3 


6 


96 


92 


88 


84 


80 


76 


72 


68 


64 


60 


7 


95 1-3 


90 2-3 


86 


811-3 


76 2-3 


72 


67 1-3 


63 2-3 


58 


53 1-3 


8 


94 2-3 


89 1-3 


84 


78 2-3 


73 1-3 


68 


63 2-3 


57 1-3 


52 


46 2-3 


9 


94 


88 


82 


76 


70 


64 


58 


52 


46 


40 


10 


93 1-3 


86 2-3 


80 


73 1-3 


66 2-3 


60 


53 1-3 


46 2-3 


40 


33 1-3 



Correction 2-3. 



13 



TABLE V 



Dividing factor sixteen. 



Ten, perfect. 



1 


2 


3 


4 


5 


6 


7 


8 


9 


10 


1 

1 


99 3-8 


98 3-4 


98 1-8 


97 1-2 


96 7-8 


96 1-4 


95 5-8 


95 


94 3-8 


93 3-4 


2 


98 3-4 


97 1-2 


96 1-4 


95 


93 3-4 


92 1-2 


911-4 


90 


88 3-4 


S7 1-2 


3 


98 1-8 


96 1-4 


88 3-4 


92 1-2 


90 5-8 


88 3-4 


86 7-8 


85 


83 1-8 


81 1-4 


4 


97 1-2 


95 


92 1-2 


- - 
90 


87 1-2 


85 


82 1-2 


80 


77 1-2 


75 


5 


96 7-8 


93 3-4 


90 5-8 


87 1-2 


84 3-8 


811-4 


78 1-8 


75 


717-8 


68 6-8 


6 


96 1-4 


92 1-2 


88 3-4 


85 


81 1-4 


77 1-2 


73 3-4 


70 


66 1-4 


62 1-2 


7 


95 5-8 


911-4 


86 7-8 


82 1-2 


78 1-8 


73 3-4 


69 3-8 


65 


60 5-8 


56 1-4 


8 


95 


90 


85 


80 


75 


70 


65 


60 


55 


50 


9 


94 3-8 


88 3-4 


83 1-8 


77 1-2 


71 7-8 


66 1-4 


60 5-8 


55 


49 3-8 


43 3-4 


10 


93 3-4 


97 1-2 


811-4 


75 


68 3-4 


62 1-2 


56 1-4 


50 


43 3-4 37 1-2 

1 



Correction 5-8. 



1-4 



TABLE VI. 



Dividing factor eighteen. 



Ten, perfect. 





1 


2 


B 


4 


5 


6 


7 


8 


9 


10 


1 


99 4-9 


98 8-9 


98 3-9 


97 7-9 


97 2-9 


96 2-3 


96 1-9 


95 5-9 


95 


94 4-9 


2 


98 8-9 


97 7-9 


96 2-3 


95 5-9 


94 4-9 


93 3-9 


92 2-9 


911-9 


90 


88 8-9 


3 


98 3-9 


96 2-3 


95 


93 1-3 


912-3 


90 


88 1-3 


86 2-3 


85 


83 1-3 


4 


97 7-9 


95 5-9 


93 1-3 


911-9 


88 8-9 


86 2-3 


84 4-9 


82 2-9 


80 


77 7-9 


5 


97 2-9 


94 4-9 


91 2-3 


88 8-9 


86 1-9 


83 3-9 


80 5-9 


77 7-9 


75 


72 2-9 


6 


96 2-3 


93 3-9 


90 


86 2-3 


83 3-9 


80 


76 2-3 


73 1-3 


70 


66 2-3 


7 


96 1-9 


92 2-9 


88 1-3 


84 4-9 


80 5-9 


76 2-3 


72 7-9 


68 8-9 


65 


56 1-9 


8 


95 5-9 


911-9 


86 2-3 


82 2-9 


77 7-9 


73 1-3 


68 8-9 


64 4-9 


60 


55 5-9 


9 


95 


90 


85. 


80 


75 


70 


65 


60 


55 


50 


10 


94 4-9 


88 8-9 


83 1-3 


77 7-9 


72 2-9 


66 2-3 


56 1-9 


55 5-9 


50 


44 4-9 



Correction 5-9. 



15 



TABLE VII. 

When the dividing factor is ticenty. 



Ten, perfect. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


10 


1 


99 1-2 


99 


98 1-2 


98 


97 1-2 


97 


96 1-2 


96 


95 1-2 


95 


2 


99 


98 


97 


96 


95 


94 


93 


92 


91 


90 


3 


98 1-2 


97 


951-2 


94 


92 1-2 


91 


89 1-2 


88 


86 1-2 


85 


4 


98 


96 


94 


92 


90 


88 


86 


84 


82 


80 


5 


97 1-2 


95 


92 1-2 


90 


87 1-2 


85 


82 1-2 


80 


77 1-2 


75 


6 


97 


94 


91 


88- 


85 


82 


79 


76 


73 


70 


7 


96 1-2 


93 


89 1-2 


86 


82 1-2 


79 


75 1-2 


72 


68 1-2 


65 


8 


96 


92 


88 


84 


80 


76 


72 


68 


64 


60 


9 


95 1-2 


91 


86 1-2 


82 


77 1-2 


73 


68 1-2 


64 


59 1-2 


55 


10 


95, 


90 


85 


80 


75 


70 


65 


60 


55 


50 



Correction 1^2. 



i6 



The following tables are for finding the average per cent. 

TABLE VIII. 



J)iv 


iding factor five. 














One hundred, perfect. 




1 


2 


3 


4 


5 


6 


7 


8 


9 


10 


11 


12 


13 


1 


99 4-5 


99 3-5 


99 2-5 


99 1-5 


99 


98 4-5 


98 3-5 


98 2-5 


98 1-5 


98 


97 4-5 


97 3-0 


97 2-5 


2 


99 3-5 


99 1-5 


98 4-5 


98 2-5 


98 


97 3-5 


97 1-5 


96 4-5 


96 2-5 


96 


95 3-5 


95 1-5 


94 4-5 


3 


99 2-5 


98 4-5 


98 1-5 


97 3-5 


97 


96 2-5 


95 4-5 


95 1-5 


94 3-5 


94 


93 2-5 


92 4-5 


92 1-5 


4 


99 1-5 


98 2-5 


97 3-5 


96 4-5 


96 


95 1-5 


94 2-5 


93 3-5 


92 4-5 


92 


91 1-5 


90 2-5 


89 3-5 


5 


99 


98, 


97 


96 


95 


94 


93 


92 


91 


90 


89 


88 


87 


6 


98 4-5 


97 3-5 


96 2-5 


95 1-5 


94 


92 4-5 


913-5 


90 2-5 


89 1-5 


88 


86 4-5 


85 3-5 


84 2-5 


7 


98 3-5 


97 1-5 


95 4-5 


94 2-5 


93 


913-5 


90 1-5 


88 4-5 


87 2-5 


86 


84 3-5 


83 1-5 


814-5 


8 


98 2-5 


96 4-5 


95 1-5 


93 3-5 


92 


90 2-5 


88 4-5 


87 1-5 


85 3-5 


84 


82 2-5 


80 4-5 


79 1-5 


9 


98 1-5 


96 2-5 


94 3-5 


92 4-5 


91 


89 1-5 


87 2-5 


85 3-5 


83 4-5 


82 


80 1-5 


78 2-5 


76 3-5 


10 


98 


96 


94 


92 


90 


88 


86 


84 


82 


80 


78 


76 


74 


11 


97 4-5 


95 3-5 


93 2-5 


91 1-5 


89 


86 4-5 


84 3-5 82 2-5 


80 1-5 


78 


75 4-5 


73 3-5 


71 2-5 


12 


97 3-5 


95 1-5 


92 4-5 


90 2-5 


88 


85 3-5 


83 1-5 80 4-5 


78 2-5 


76 


73 3-5 


71 1-5 


68 4-5 


13 


97 2-5 


94 4-5 92 1-5 89 3-5 


87 


84 2-5 


I 
81 4-5 79 1-5 76 3-5 


74 


712-5 


68 4-5' 

1 


66 1-5 



Correction 1-5. 



17 



TABLE IX. 



Wheji the dividing factor is six. 



One hundred, perfect. 





1 
1 1 


2 


3 


4 


5 


6 


7 


8 


9 


10 


11 


1. 


1 
1 


1 


99 5-6 


99 2-3 


99 1-2 


99 1-3 


99 1-6 


99 


98 5-6 


98 2-3 


98 1-2 


98 1-3 


98 1-6 


98 


97 5-6 


2 


99 2-3 


99 1-3 


99 


98 2-3 


98 1-3 


98 


97 2-3 


97 1-3 


97 


96 2-3 


96 1-3 


96 


95 2-3 


3 


99 1-2 


99 


98 1-2 


98 


97 1-2 


97 


96 1-2 


96 


95 1-2 


95 


94 1-2 


94 


93 1-2 


4 


99 1-3 


98 2-3 


98 


97 1-3 


96 2-3 


96 


95 1-3 


94 2-3 


94 


93 1-3 


92 2-3 


92 


91 1-3 


5 


99 1-6 


98 1-3 


97 1-2 


96 2-3 


95 5-6 


95 


94 1-6 


93 1-3 


92 1-2 


912-3 


90 5-6 


90 


89 1-6 


6 


99 


98 


97 


96 


95 


94 


93 


92 


91 


90 


89 


88 


87 


7 


98 5-6 


97 2-3 


96 1-2 


95 1-3 


94 1-6 


93 


91 5-6 


90 2-3 


89 1-2 


88 1-3 


87 1-6 


86 


84 5-6 


8 


98 2-3 


97 1-3 


96 


94 2-3 


93 1-3 


92 


90 2-3 


98 1-3 


88 


86 2-3 


85 1-3 


84 


82 2-3 


9 


98 1-2 


97 


95 1-2 


94 


92 1-2 


91 


89 1-2 


88 


86 1-2 


85 


83 1-2 


82 


80 1-2 


10 


98 1-3 


96 2-3 


95 


93 1-3 


912-3 


90 


88 1-3 


86 2-3 


85 


83 1-3 


81 2-3 


80 


78 1-3 


11 


98 1-6 


96 1-3 


94 1-2 


92 2-3 


90 5-6 


89 


87 1-6 85 1-3 


83 1-2 


812-3 


79 5-6 


78 


76 1-6 


12 


98 


96 


94 


92 


90 


88 


86 


84 


82 


80 


78 


76 


74 


13 


97 5-6 


95 2-3 


93 1-2 


91 1-3 


89 1-6 


87 


84 5-6 


82 2-3 80 1-2 


78 1-3 


76 1-6 


74 


71 5-6 



Correction 1-6. 



i8 



TABLE X. 

Counting one hundred as perfect and seven as the dividing factor. 





1 1 
1 


2 

1 


3 


4 


5 


6 


7 


8 


9 10 


11 


12 


13 


1 


1 

99 6-7 


99 5-7 


99 4-7 


99 3-7 


99 2-7 


99 1-7 


99 


98 6-7 


1 

98 5-7 


98 4-7 


98 3-7 


1 

98 2-7 


98 1-7 


2 


99 5-7 


99 3-7 


99 1-7 


98 6-7 


98 4-7 


98 2-7 


98 


97 5-7 


97 3-7 


97 1-7 


96 6-7 


96 4-7 


96 2-7 


3 


99 4-7 


99 1-7 


98 5-7 


98 2-7 


97 6-7 


97 3-7 


97 


96 4-7 


96 1-7 


95 5-7 


95 2-7 


94 6-7 


94 3-7 


4 


99 3-7 


98 6-7 


98 2-7 


97 5-7 


97 1-7 


96 4-7 


96 


95 3-7 


94 6-7 


94 2-7 


93 5-7 


93 1-7 


92 4-7 


5 


99 2-7 


98 4-7 


97 6-7 


97 1-7 


96 3-7 


95 5-7 


95 


94 2-7 


93 4-7 


92 6-7 


92 1-7 


913-7 


90 5-7 


6 


99 1-7 


98 2-7 


97 3-7 


96 4-7 


95 5-7 


94 6-7 


94 


93 1-7 


92 2-7 


913-7 


90 4-7 


89 5-7 


88 6-7 


7 


99 


98 


97 


96 


95 


94 


93 


92 


91 


90 


89 


88 


87 


8 


98 6-7 


97 5-7 


96 4-7 


95 3-7 


94 2-7 


93 1-7 


92 


90 6-7 


89 5-7 


88 4-7 


87 3-7 


86 2-7 


85 1-7 


9 


98 5-7 


97 3-7 96 1-7 


94 6-7 


93 4-7 


92 2-7 


91 


89 5-7 


88 3-7 


87 1-7 


85 6-7 


84 4-7 


83 2-7 


10 


98 4-7 


97 1-7 


95 5-7 


94 2-7 


92 6-7 


913-7 


90 


88 4-7 


87 1-7 


85 5-7 


84 2-7 


82 6-7 


81 3-7 


11 


98 3-7 


96 6-7 


95 2-7 


93 5-7 


92 1-7 


90 4-7 


89 


87 3-4 


85 6-7 


84 2-7 


82%5-7 


81 1-7 


79 4-7 


12 


98 2-71 

1 


96 4-7 


94 6-7 


93 1-7 


913-7 


89 5-7 1 
1 


,88 1 
1 


86 2-7 84 4-7 


82 6-7 


811-7 


79 3-7| 

! 

1 


77 0-7 


13 


98 1-7 1 


96 2-7 


94 3-7 


92 4-7 


■ 1 
90 5-7 88 6-71 


87 1 


85 1-7 83 2-7 


81 3-7 


79 4-7 


1 
77 5-7 1 75 6 7 



Correction 1-7 



19 



Dividing f 


actor ( 


V[/llt. 




TABLE XJ 


- • 




One hioiffrcih perfect. 




12 3 


1 
4 5 

1 


6 • 7 


8 


9 


10 11 12 j 13 


1 


99 7-8 


99 3-4 


99 5-8 99 1-2 


99 3-S 


99 1-4 


99 1-8 


99 


98 7-8 


98 3-4 98 5-8 98 1-2 98 3-8 


2 


99 3-4 


99 1-2 


99 1-4 99 


08 3-4 


98 1-2 


98 1-4 


98 


97 3-4 1 97 1-2 : 97 1-4 97 96 3-4 

1 1 1 i ! 


3 


99 5-8 


99 1-4|98 7-8 98 1-2 

1 1 


98 1-8 


97 3-4 


97 3-8 


97 


96 5-S 


: 

96 1-4 95 7-8 95 1-2 95 1-8 

I 


4 


99 1-2 


1 
99 1 98 1-2 

1 


98 


97 1-2 97 

1 


96 1-2 


96 


95 1-2 


95 94 1-2 94 93 1-2 

' ' ! 


5 


1 
99 3-8198 3-4 98 1-8 

! 


1 
97 1-2! 96 7-8 

1 

1 


96 1-4 


95 5-8 


95 


94 3-8 93 3-4 93 1-8 92 1-2 

1 


91 7-8 


6 


1 1 

99 1-4 98 1-2 97 3-4 1 97 196 1-4 

1 ' 1 


95 1-2 


94 3-4 


94 


93 1-4 92 1-2 

1 


1 

91 3-4 91 90 1-4 

I ' 


7 


1 1 

|99 1-8 98 1-4 97 1-3 

1 ' 


96 1-2195 5-8 

} 


94 3-4 93 7-8 


93 


1 ' 1 
92 1-8 1 91 1-4 90 3-S'S9 1-2188 5-8 


1 

8 |99 

1 


1 ! 

98 197 |96 

! I 


95 


1 
94 |93 

1 


92 


1 1 1 

91 190 189 |.88 87 

! ' I ' 


II ! ! 1 1 

9 198 7-8|97 3-4 96 5-8|95 1-2|94 3-8|93 1-4|92 1-8 

1 ! 111! 


91 


i ; 1 

87 7-8188 3-4 87 5-8 86 1-2 85 3-8 

! 


1 

10 198 3-4 

1 


97 1-2 


96 1-4|95 193 3-4 

I 1 


1 
92 1-2 91 1-4 


90 


! i 

S8 3-4187 1-2 86 1-4 85 
I 1 


84 3-4 


II 
11 1198 5-8 

II 


1 ■ ' 1 1 
97 1-4|95 7-8 94 1-2193 l-8i91 3-4190 3-8 

! 1 1 i 


89 


; ' ! 1 

87 5-8186 1-4 1. 84 7-8 1 83 1-2 82 1-8 

I ! 1 1 


II 1 ' ! ! ! 
12 I|98 1-2197 |9ol-2|94 192 1-2191 

II 1 1 1 1 1 


89 1-21 

1 


88 


I 

86 1-2185 
1 


I ! 

83 1-2|82 |80 1-2 

1 1 


|[ 
13 ||98 3-8196 5-8|95 1-8 

II 1 1 


! I ! 1 
93 l-2t91 7-8190 1-4|8S 5-8] 


87 


! 1 
85 3-8184 3-4182 1-8 80 1-2178 7-8 
1 1 1 




Correc 


tion 1- 


8. 





















20 



TABLE XII 



Div 


i(Z//?(7 factor nine. 














One hundred, perfect. 




1 


2 


3 4 


5 6 


7 


8 


9 


10 


11 


12 


13 


1 


99 8-9 99 7-9 


99 2-3 


99 5-9 


99 4-9 


99 3-9 


99 2-9 


99 1-9 


99 


98 8-9 1 98 7-9 


98 6-9 


98 5-9 


2 


97 7-9 


99 5-9 


99 3-9 


99 1-9 


98 8-9 


98 2-3 


98 4-9 


98 2-9 


98 1 


97 7-9 97 5-9 


97 3-9 


97 1-9 


o 
o 


99 2-3 


99 1-3 


99 


98 2-3 


98 1-3 


98 


97 2-3 


97 1-3 


97 1 


96 2-3 1 96 1-3 


96 


95 2-3 


4 


99 5-9 


99 1-9 


98 2-3 


98 2-9 


97 7-9 


97 1-3 


96 8-9 


96 4-9 


96 


95 5-9 95 1-9 


94 2-3 


94 2-9 


5 


99 4-9 


98 8-9 


98 1-3 


97 7-9 


97 2-9 


96 2-3 


96 1-9 


95 5-9 


95 1 


94 4-9 94 8-9 


94 1-3 


93 7-9 


G 


99 1-3 


98 2-3 


,s 


97 1-3 


96 2-3 


u 


95 1-3 


94 2-3 


94 i 


93 1-3 


92 2-3 


92 


913-9 


7 


99 2-9 


98 4-9 


97 2-3 


96 8-9 


96 1-9 


95 1-3 


94 5-9 


93 7-9 


93 ! 


92 2-9 


914-9 


90 2-3 


89 8-9 


8 


99 1-9 


98 2-9 


97 1-3 


96 4-9 


95 5-9 


94 2-3 


93 7-9 


92 8-9 


92 1 


911-9 


90 2-9 


89 1-3 


88 4-9 


9 


99 


98 


97 


96 


95 


94 


93 


92 


91 


90 


89 


88 


87 


10 


1 98 8-9 

1 


97 7-9 


96 2-3 


95 5-9 


94 4-8 


93 1-3 


92 2-9 


911-9 


90 1 


88 8-9 


87 7-9 


86 2-3 


85 5-9 

1 


11 


1 ■ 

98 7-9 


97 5-9 


96 3-9 


95 1-9 


93 8-9 


92 2-3 


914-9 


90 2-9 


89 


87 7-9 86 5-9 85 1-3 


84 1-9 


32 


98 2-3 


97 1-3 


96 


94 2-3 


94 1-3 


92 


90 2-3 


89 1-3 


88 


86 2-3 85 1-3 84 


82 2-3 


13 


98 5-9 


97 1-9 


95 2-3 


94 2-9 


93 7-9 


91 1-3 


89 8-9 


88 4-9 


87 


85 5-9 84 1-9 82 2-3 1 81 2-9 



Correction 1-9. 



21 



\ 



CHART I. 

; chart is for finding the average grade when the daily and exaniination grades are known, counting 
two-thirds for daily grade and one-third for < " " 

Examination Grades. 





^ 


60 


65 


70 


75 


80 


81 82 


83 


84 


85 j 86 j 87 


' 


90 


91 


92 


93 


«4 


95 


= 
96 


97 


98 


99 


100 




99 
98 












1 






^^^ 
















100 


991 


99 


100 
98} 


991 
98 


99 
971 


98} 
97 




















9T 






1) 


II.Y C 


RADE 




■ 


















100 


991 


99 


98} 


98 


971 


9T 


96} 


96 


951 




96 
























100 


991 


99 


981 


98 


971 


97 


96} 


96 


95} 


95 


94} 


94 




95 


















100 


991 


99 


981 


98 


971 


97 


961 


96 


95} 


95 


94} 


94 


93} 


93 


921 




9« 












100 


991 


99 


981 


98 


971 


97 


961 


96 


951 


95 


941 


94 


93} 


93 


92} 


92 


91} 


91 




93 r 








99i 


99 


m 


98 


971 


97 


961 


96 


951 95 


941 


94 


931 


93 


92} 


92 


91} 


91 


901 


90 


891 




92 










98 


97i 


97 


961 


96 


951 i 95 


941 


94 


- 


93 921 


92 


911 


91 


901 


90 


89} 


89 


88} 


88 




91 










96J 


96 


951 


95 


941 


94 


931 


93 


921 


92 


911 


91 


901 


90 


89} 


89 


88} 


88 


87} 


87 


861 




90 








97i 


95 


941 


84 


931 


93 


921 


92 


911 


91 


901 


90 


891 


89 


881 


88 


87} 


87 


86} 


86 


851 


85 




89 






98i 


96 


93i 


93 


921 


92 


911 


91 


901 


90 


891 


89 


881 


88 


871 


87 


86} 


86 


85} 


85 


841 


84 


83} 




88 - 


99i 


97 


94i 


92 


911 


91 


901 


90 


891 


89 


881 


88 


871 


87 


861 


86 


851 


85 


841 


84 


83} 


83 


821 


82 


1 


87 


98 


95i 


93 


90i 


90 


891 


89 


881 


88 


871 


87 


861 


86 


851 


85 


841 


84 


83} 


83 


82} 


82 


811 


81 


80} 




86 99 


96i 


94 


91i 


89 


881 


88 


871 


87 


861 


86 
841 


851 
84 


85 


841 


84 


831 


83 


821 


82 


811 
80 


81 


801 


80 


791 


79 


S 
1 


85 97 


95 


92i 


90 


87i 


87 


■ 
861 


86 


851 


85 


831 


83 


821 


82 


811 


81 


80} 


791 


79 


781 


78 


771 




8* 


96 


93i 


91 


88i 


86 


851 


85 


841 


84 


831 


83 


821 


82 


811 


81 


801 


80 


791 


79 


78} 


78 


77} 


77 


76} 


76 




83 


94i 


92 


89i 


87 


84i 


84 


831 


83 


82} 


82 


811 


81 


801 


80 


791 


79 


781 


78 


77} 


77 


76} 


76 


751 


75 


741 




82 


93 


90i 


88 


85i 


83 


821 


82 


811 


81 


801 


80 


791 


79 


781 


78 


771 


77 


761 


76 


75} 


75 


74} 


74 


731 


73 




81 


91i 


89 


86i 


84 


811 


81 


801 


80 


791 


79 


781 


78 


771 


77 


761 


76 


751 


75 


74} 


74 


73} 


73 


72} 


72 


711 




80 


90 


87i 


85 


82i 


80 


791 


79 


781 


78 


771 


77 


761 


76 


751 


75 


741 


74 


731 


73 


721 


72 


71} 


71 


70} 


70 




79 


88i 


86 


83i 


81 


78i 


78 


771 


77 


761 


76 


751 


75 


741 


74 


731 


73 


721 


72 


71} 


71 


70} 


70 


69} 


69 


681 




78 


87 


84i 


82 


79i 


77 


761 


76 


751 


75 


741 


74 


731 


73 


72i 


72 


711 


71 


70} 


70 


69} 


69 


68} 


68 


671 


67 




77 


85i 


83 


80i 


78 


75i 


75 


741 


74 


731 


73 


721 


72 


711 


71 


701 


70 


691 


69 


6^ 


68 


67} 


67 


661 


66 


651 




76 


84 


81i 


79 


76i 


74 


731 


73 


721 


72 


711 


71 


701 


70 


691 


69 


681 


68 


67} 


67 


66} 


66 


65} 


65 


64} 


64 




75 
74. 


82i 
81 


80 


m 


75 


72i 
71 


72 
701 


711 
70 


71 

691 


701 
69 


70 
681 


691 


69 
671 


681 
67 


68 
661 


671 
66 


67 
651 


661 
65 


66 
64} 


65} 
64 


65 
63} 


64} 


64 
62} 


63} 
62 


63 
611 


621 
61 




78i 


76 


73i 


63 




73 


79i 


77 
75i 


74i 
73 


72 
70J 


69i 
68 


69 
671 


681 
67 


68 
661 


671 
66 


67 
651 


661 
65 


66 
641 


651 
64 


65 
631 


641 
63 


64 
621 


631 
62 


63 
61} 


62} 
61 


62 

60} 


611 
60 


61 
591 


60} 


60 


591 




72 


78 


581 


58 




71 


76i 


74 


71i 


68i 


66i 


66 


651 


65 


641 


64 


631 


63 


621 


62 


611 


61 


601 


60 


59} 


59 


58} 


58 


571 


57 


561 




70 


75 


T2i 


70 


67 


65 


fe 


64 


i?i 


i 


G2i_ 


62 


m 


i 


m 


60 


591 


59 


_581 


68 


_57} 


57 


i 


56 


55i 


55 



! of one-liiilf in daily grade increases average oue-tliird. 



jUN 17 l^ofc 



CHART II. 

Counting one-half for examination and one-half for 

KXAMINATION GliADES. 



daily recitation 







(iO 


69 


JL 


[n_ 


80 


SI 


82 


83 


JL 


85 


86 


87 SS' 89 


90 


91 


92 


93 


94 


95 


96 


97 


98 


1 


100 




99 












































"^ 




= 


98 
96 




98 










































100 


99 


98 


97 




9T 






A 


BRAG 


sDai 


,Y G 


iADES 
























100 


99 


98 


97 


96 


95 


94 




9e 


































100 


99 


98 


97 


96 


95 


94 


93 


92 




95 






























100 


99 


98 


97 


96 


95 


94 


93 


92 


91 


90 




94 


























100 


99 


98 


97 


96 


95 


94 


93 


92 


91 


90 


89 


88 




93; 


















100 


99 


100 
98 


99 

97 


96 


97 
95 


96 


95 
93 


94 
92 


93 

91 


92 
90 


91 


88 


89 
87 


86 


87 
85 


86 
84 




94 




91 

90 










100 
98 


99 
97 


100 
98 
96 


99 
97 
95 


98 
90 
94 


97 
95 
93 


96 
94 


95 
93 


94 


93 


90 


91 

89 
87 


90 

88 
86 


89 
87 
85 


86 
84 


87 
85 


84 
82 


S3 
81 


84 
82 
80 


81 
79 


82 
80 
78 




92 
90 


91 




92 


91 




8T 








99 


96 

94 


9S 
93 


94 
92 


93 
91 


92 
90 


91 


90 


89 


88 


87 
85 


86 


85 


84 
82 


81 


82 


81 
79 


78 


79 

77 


78 
76 


77 
75 


76 
74 


i 


84 


83 


1 


86 








97 


92 


91 


90 


89 


88 


87 


86 


85 


84 


„ 


82 


81 


80 


79 


78 


77 
75 


70 
74 


7S 
73 


74 
72 


73 
71 


72 
70 




85 






100 


95 


90 


89 


88 


87 


86 


85 


84 


83 


82 


. 




79 


78 


77 


76 




84 






98 


93 


88 


87 


86 


85 


84 


S3 


82 


81 


80 


™ 


78 


77 


76 


75 


74 


73 


72 


71 


70 


69 


68 




83 






96 


91 


86 


85 


84 


83 


82 


81 


80 


79 


78 


77 


76 


75 


74 


73 


72 


71 


70 


69 


68 


67 


66 




82 




99 


94 


89 


84 


83 


82 


81 


80 


79 


78 


77 


76 


75 


74 


73 


72 


71 


70 


69 


68 


67 


66 


65 


64 




81 




97 


92 


87 


82 


81 


80 


79 


78 


77 


70 


75 


74 


73 


72 


71 


70 


69 


68 


67 


66 


65 


64 


63 


62 




80 


100 


95 


90 


85 


80 


79 


78 


77 


k; 




74 


73 


72 


71 


70 


69 




67 


66 


65 


64 


63 


62 


61 


60 




79 
78 


96 


93 
91 


88 
86 


81 


78 
76 


77 
75 


70 
74 


73 


72 


71 


72 
70 


71 


70 


69 

67 


66 


67 
65 


66 
64 


65 


64 
62 


63 
61 


62 
60 


61 
59 


60 
58 


59 
57 


58 




56 




TT 


94 


89 


84 


79 


74 


73 


72 


71 


70 


69 


68 


67 


66 


65 


64 


63 


02 


61 


60 


59 


58 


57 


56 


55 


54 




70 i 


92 


87 


82 


77 


72 


71 


70 


69 


68 


67 


66 


65 


64 


63 


62 


61 


60 


59' 


58 


57 


56 


55 


54 


53 


52 




75 
74 


90 

88 


83 


80 

78 


75 
73 


70 
68 


69 
67 




67 
65 


66 


65 


64 


63 


62 


61 


„ 


59 


58 


57 


56 
54 


55 
53 


54 
52 


53 
51 


52 
50 


51 


50 




64 


63 


02 


61 


60 


59 


58 


57 


56 


55 


49 


48 




73 

72 


86 


81 


76 


71 


66 

(!4 


65 

i;3 
(ii 


64 
02 


61 
59 


62 
00 


61 
59 

57 


60 
56 


59 
57 
55 


58 
56 


57 


56 


55 


54 


53 

51 
49 


52 
50 
48 


51 
49 
47 


50 
48 
46 


49 
47 
45 


48 
46 
44 


47 
45 
43 


46 
44 
42 




84 


79 
77 


74 


55 


54 


53 

51 


52 
50 




71 82 


7:; (17 .;l> 


54 


53 


52 




70 80 


75 


70 65 60 


59 


Ji 


57 


56 


55 


54 


53 


52 


51 


JL 


^ 


48 


47 


= 


45 


44 


43 


42 


JL 


40 



. the recitation grade 



the average one-half. 



LIBRARY OF CONGRESS 



021 285 578 9 



I 



